TS EAMCET · Maths · Differential Equations
The order and degree of the differential equation \(\frac{d y}{d x}=\left(\frac{d^2 y}{d x^2}+2\right)^{1 / 2}+\frac{d^2 y}{d x^2}+5\) are respectively
- A 2,1
- B 2,4
- C 2,2
- D 2,3
Answer & Solution
Correct Answer
(C) 2,2
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \frac{d y}{d x}=\left(\frac{d^2 y}{d x^2}+2\right)^{\frac{1}{2}}+\frac{d^2 y}{d x^2}+5 \\ & \frac{d y}{d x}-\frac{d^2 y}{d x^2}-5=\left(\frac{d^2 y}{d x^2}+2\right)^{\frac{1}{2}}\end{aligned}\) Squaring both sides…
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